### A roulette wheel has 34 slots, 2 of which are green, 16 are red, and 16 are black.

A roulette wheel has 34 slots, 2 of which are green, 16 are red, and 16 are black. A successful bet on black or red doubles the money, whereas one on green fetches 30 times as much. If you play the game once by betting $2 on the black, what is the probability that: a) You will lose your $2? b) You will win $2?